A Property Satisfying Reducedness over Centers

作     者：Hailan Jin Tai Keun Kwak Yang Lee Zhelin Piao Hailan Jin;Tai Keun Kwak;Yang Lee;Zhelin Piao

作者机构：Department of MathematicsYanbian UniversityYanjiJilin 133002China Department of MathematicsDaejin UniversityPocheon 11159Korea Institute of Basic ScienceDaejin UniversityPocheon 11159Korea 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2021年第28卷第3期

页      面：453-468页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The second author was supported by the National Research Foundation of Korea(NRF)grant funded by the Korea government(MSIT)(No.2019R1F1A1040405) 

主　　题：pseudo-reduced-over-center ring center radical commutative ring polynomial ring right quotient ring Abelian ring 

摘      要：This article concerns a ring property called pseudo-reduced-over-center that is satisfied by free algebras over commutative reduced *** properties of radicals of pseudo-reduced-over-center rings are investigated,especially related to polynomial *** is proved that for pseudo-reduced-over-center rings of nonzero characteristic,the centers and the pseudo-reduced-over-center property are preserved through factor rings modulo nil *** a locally finite ring R,it is proved that if R is pseudo-reduced-over-center,then R is commutative and R/J(R)is a commutative regular ring with J(R)nil,where J(R)is the Jacobson radical of R.